Correct answers for both part 1 and 2 only !

1. Vertical shift up 3 units and vertical stretch by factor of 2

Step-by-step explanation:

f(x) = √x

g(x) = 2√x + 3  

2. Domain: [0, ∞)

                   Range: [3, ∞)

Step-by-step explanation:

g(x) = 2√x + 3  

Domain: The restriction on "x" is that the radical must be greater than or equal to 0.  So, x ≥ 0  Interval Notation: [0, ∞)

Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0.  Add 3 to that and y ≥ 3.  Interval Notation: [3, ∞)

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x